Given a non empty set X, consider P (X) ...

Given a non empty set X, consider P (X) which is the set of all subsets of X.
Define the relation R in P(X) as follows :
For subsets A, B in P(X), ARB if and only if `A sub B.` Is R an equivalence relation on `P (X)?` Justify your answer.

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The correct Answer is:

NO

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